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Atlas › Integer Profiles › Node 44,749,575

44,749,575

32 × 52 × 13 × 15299
Deficient Odd Composite

44,749,575 factors as 3^2 × 5^2 × 13 × 15299. Its 36 positive divisors give a proper-divisor sum of 41,573,025, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 13 × 15299
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 86,322,600
Proper Divisor Sum 41,573,025
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #44749571 ← → #44749583

Radix Representation

Decimal 44749575
Binary 10101010101101001100000111 (26 bits)
Octal 0o252551407
Hexadecimal 0x2AAD307

Divisor Catalog (36)

1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2,925 15,299 45,897 76,495 137,691 198,887 229,485 382,475 596,661 688,455 994,435 1,147,425 1,789,983 2,983,305 3,442,275 4,972,175 8,949,915 14,916,525 44,749,575

Collatz Trajectory (111 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

44,749,575 134,248,726 67,124,363 201,373,090 100,686,545 302,059,636 151,029,818 75,514,909 226,544,728 113,272,364 56,636,182 28,318,091 84,954,274 42,477,137 127,431,412 63,715,706 31,857,853 95,573,560 47,786,780 23,893,390 11,946,695 35,840,086 17,920,043 53,760,130 26,880,065 80,640,196 40,320,098 20,160,049 60,480,148 30,240,074 15,120,037 45,360,112 22,680,056 11,340,028 5,670,014 2,835,007 8,505,022 4,252,511 12,757,534 6,378,767 19,136,302 9,568,151 28,704,454 14,352,227 43,056,682 21,528,341 64,585,024 32,292,512 16,146,256 8,073,128 4,036,564 2,018,282 1,009,141 3,027,424 1,513,712 756,856 378,428 189,214 94,607 283,822

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